绝密★启用前
新疆阿克苏市阿瓦提县第四中学
2020届高三年级上学期第二次月考质量检测
数学试题
（考试时间：120分钟 试卷满分：150分）
一、选择题：本大题共12小题，每小题5分，共60分
1．设集合![](https://wkrtcs.bdimg.com/rtcs/image?w=182&md5sum=816eeb20a692a963c5f4a813dc936fe8&sign=8d087a2d54&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=232&ipr={"t":"img","w":"182","h":"22","c":"25a52b37b4322b0aa09503d8adf9054b.png"})
A．![](https://wkrtcs.bdimg.com/rtcs/image?w=91&md5sum=816eeb20a692a963c5f4a813dc936fe8&sign=8d087a2d54&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=232&ipr={"t":"img","w":"91","h":"43","c":"68b527984ee6bbda32aa4a9ef4863bdd.png"})
2.已知![](https://wkrtcs.bdimg.com/rtcs/image?w=13&md5sum=816eeb20a692a963c5f4a813dc936fe8&sign=8d087a2d54&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=232&ipr={"t":"img","w":"13","h":"20","c":"0cc175b9c0f1b6a831c399e269772661.png"})
(A) ![](https://wkrtcs.bdimg.com/rtcs/image?w=31&md5sum=816eeb20a692a963c5f4a813dc936fe8&sign=8d087a2d54&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=232&ipr={"t":"img","w":"31","h":"43","c":"7ddf743a44884d9bbc8c1789b835ac41.png"})
3.已知α为第二象限角，sinα＋cosα=![](https://wkrtcs.bdimg.com/rtcs/image?w=27.00&md5sum=816eeb20a692a963c5f4a813dc936fe8&sign=8d087a2d54&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=232&ipr={"t":"img","r":"r_6","w":"27.00","h":"45.00","dataType":"png","c":"word/media/image17_1.png","imgOriW":640,"imgOriH":1088})
，则cos2α=
(A) ![](https://wkrtcs.bdimg.com/rtcs/image?w=33.00&md5sum=816eeb20a692a963c5f4a813dc936fe8&sign=8d087a2d54&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=232&ipr={"t":"img","r":"r_6","w":"33.00","h":"45.00","dataType":"png","c":"word/media/image18_1.png","imgOriW":800,"imgOriH":1088})
（B） (C) (D)
4.设![](https://wkrtcs.bdimg.com/rtcs/image?w=81&md5sum=816eeb20a692a963c5f4a813dc936fe8&sign=8d087a2d54&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=232&ipr={"t":"img","w":"81","h":"23","c":"a4fe9e7ed3b1001de4466265b3118ef1.png"})
A.![](https://wkrtcs.bdimg.com/rtcs/image?w=66&md5sum=816eeb20a692a963c5f4a813dc936fe8&sign=8d087a2d54&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=232&ipr={"t":"img","w":"66","h":"20","c":"c5acba8e3c95ddbd5895acb3bf8e3c04.png"})
5.函数f（x）= 5 x2 – 2 x 的单调增区间是（ ）
A.(![](https://wkrtcs.bdimg.com/rtcs/image?w=8.00&md5sum=816eeb20a692a963c5f4a813dc936fe8&sign=8d087a2d54&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=232&ipr={"t":"img","r":"r_6","w":"8.00","h":"43.00","dataType":"png","c":"word/media/image29.png","imgOriW":8,"imgOriH":43})
,+∞) B. (-∞,) C.(-, +∞) D. (-∞,-)
6.![](https://wkrtcs.bdimg.com/rtcs/image?w=2.00&md5sum=816eeb20a692a963c5f4a813dc936fe8&sign=8d087a2d54&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=232&ipr={"t":"img","r":"r_16","w":"2.00","h":"2.00","dataType":"png","c":"word/media/image31.png","imgOriW":324,"imgOriH":36})
命题“对任意的x∈R,都有sin x≤1”的否定是 ( )
A.不存在x∈R,使得sin x≤1 B.存在x∈R,使得sin x≤1
C.存在x∈R,使得sin x>1 D.对任意的x∈R,都有sin x>1
7.设函![](https://wkrtcs.bdimg.com/rtcs/image?w=2.00&md5sum=816eeb20a692a963c5f4a813dc936fe8&sign=8d087a2d54&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=232&ipr={"t":"img","r":"r_6","w":"2.00","h":"2.00","dataType":"png","c":"word/media/image31.png","imgOriW":324,"imgOriH":36})
数,( )
（A）3 （B）6 （C）9 （D）12
8.函数f（x）=2x+3x的零点所在的一个区间是（ ）
![](https://wkrtcs.bdimg.com/rtcs/image?w=2.00&md5sum=816eeb20a692a963c5f4a813dc936fe8&sign=8d087a2d54&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=232&ipr={"t":"img","r":"r_15","w":"2.00","h":"3.00","dataType":"png","c":"word/media/image31.png","imgOriW":324,"imgOriH":36})
A.（-2,1） B.（-1,0） C（0,1） D.（1，2）
9. 函数![](https://wkrtcs.bdimg.com/rtcs/image?w=86&md5sum=816eeb20a692a963c5f4a813dc936fe8&sign=8d087a2d54&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=232&ipr={"t":"img","w":"86","h":"21","c":"e28e7f220253f29d65f881e8427170f9.png"})
，则
A．0 B．1 C．2 D．4
10.![](https://wkrtcs.bdimg.com/rtcs/image?w=29&md5sum=816eeb20a692a963c5f4a813dc936fe8&sign=8d087a2d54&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=232&ipr={"t":"img","w":"29","h":"52","c":"b9d9fcdfbb0636ac4b766e97ab94ece8.png"})
11.设曲线y=ax-ln(x+1)在点(0,0)处的切线方程为y=2x，则a=
A. 0 B. 1 C. 2 D. 3
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